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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 97020u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 97020.cc1 | 97020u1 | \([0, 0, 0, 444528, -56269836]\) | \(47775744/34375\) | \(-6989664409912800000\) | \([]\) | \(1612800\) | \(2.3043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97020u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97020u do not have complex multiplication.Modular form 97020.2.a.u
sage: E.q_eigenform(10)